A swan on a lake gets airborne by flapping its wings and running on top of the water. (a) If the swan must reach a velocity of 6.00 m/s to take off and it accelerates from rest at an average rate of 0.35 m/s² how far will it travel before becoming airborne?
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- A cannonball is fired at 171 (m/s), straight up in the air, by accident. Quickly realizing the error, the commanding officer orders the gunners to fire another cannonball straight up to hit the one coming down. In order to be safe, the two cannon balls must explode at a given hight of 636 (m). What is the maximum time (in seconds) the second cannonball can be fired after the first, such that the two cannaballs collide, exploding safely above the regiment? (s) How fast (velocity) will the first cannon ball be traveling just before the collision? (m/s) How fast (velocity) will the second cannon ball be traveling just before the collision? (m/s)While entering a freeway, a truck accelerates from rest at a rate of 2.1 m/s2 for 11 s. Part (a) How far does the trucktravel in those 11 s, in meters? Part (b) What is the truck's final velocity, in meters per second?Suppose a cyclist is going 20m/s (44mph) at the end of a race, and begins coasting after crossing the finish line. The coasting cyclist has a velocity-dependent acceleration (in the x-direction) given by ag = -(0.01lm-1)v², which is negative because they are slowing. Ignoring time, find how far the cyclist will have traveled beyond the finish line when they are rolling at a speed of 10m/s.
- An electron is moving in a straight line with a initial speed of3E5 m/s. It then undergoes an accelerates 8E14m/ s. How long will it take to reach a speed of 5.4E 5m/s?I had a dream last night that I was chased by my teddy bear. In my dream, I was sleepwalking at a constant velocity of 60ft/sec. At exactly 4:00 am I noticed my teddy bear standing 1000 feet behind me. At that instant I began to accelerate at 10 ft/sec/sec and the teddy bear began to accerlate after me at 12 ft/sec/sec. At the moment the bear caught up to me, I woke from my dream in a cold sweat. To the nearest second, What time was this?The speed of a nerve impulse in the human body is about 100 m/s. If you accidentally stub you toe in the dark, estimate the time it takes the nerve impulse to travel to your brain. (Assume that you are approximately 2.00 m tall and that the nerve impulse travels at uniform speed.)
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